algebrite/tests/circexp.coffee

Computer Algebra System in Coffeescript

test_circexp = ->
	run_test [

		"circexp(cos(x))",
		"1/2*exp(-i*x)+1/2*exp(i*x)",

		"circexp(sin(x))",
		"1/2*i*exp(-i*x)-1/2*i*exp(i*x)",

		"circexp(tan(x))",
		"i*exp(-i*x)/(exp(-i*x)+exp(i*x))-i*exp(i*x)/(exp(-i*x)+exp(i*x))",

		"circexp(cosh(x))",
		"1/2*exp(x)+1/2*exp(-x)",

		"circexp(sinh(x))",
		"1/2*exp(x)-1/2*exp(-x)",

		"circexp(tanh(x))",
		"-1/(1+exp(2*x))+exp(2*x)/(1+exp(2*x))",

		"circexp((cos(x),sin(x)))",
		"(1/2*exp(-i*x)+1/2*exp(i*x),1/2*i*exp(-i*x)-1/2*i*exp(i*x))",

		"circexp(cos(x)*sin(x))-expcos(x)*expsin(x)",
		"0",

		"circexp(i*2^(1/4)*sin(1/8*pi)+2^(1/4)*cos(1/8*pi))",
		"2^(1/4)*exp(1/8*i*pi)",
	]